Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 115 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14527532 | C2 | semidirect |
| 4. #14526642 | C2 | semidirect |
| 5. C17×#1835 | C2 | semidirect |
| 9. #11762888 | C4 | semidirect |
| 11. C8×D68 | C4 | semidirect |
| 115. #1835 | D17 | semidirect |
| 185. C17 | #8680 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537497 | 2 |
| #14527532 | 2 |
| #14527343 | 2 |
| #14526642 | 2 |
| C17×#1835 | 2 |
| #8680 | 17 |